document.write( "Question 1196432: From the helicopter 3000 ft. directly over one base of a
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document.write( "mountain the angle of depression to the base on the other side is
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document.write( "49 degrees 12 minutes. How long a tunnel is needed to go through the mountain? \n" );
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Algebra.Com's Answer #829262 by amoresroy(361)![]() ![]() You can put this solution on YOUR website! Given: \n" ); document.write( "Angle of depression = 49 degrees 12 minutes = 49.2 ⁰ ( given 60 minutes/degree) \n" ); document.write( "Height of triangle is 3,000 meters\r \n" ); document.write( "\n" ); document.write( "Let L = the length of a tunnel that is needed to go through the mountain.\r \n" ); document.write( "\n" ); document.write( "Since L is perpendicular to the height, we have\r \n" ); document.write( "\n" ); document.write( "Equation: \n" ); document.write( "Tan (49.2) = 3,000/L \n" ); document.write( "L = 3,000/Tan (49.2) \n" ); document.write( "L = 3,000/1.1585 \n" ); document.write( "L = 2,589.6 \r \n" ); document.write( "\n" ); document.write( "Answer\r \n" ); document.write( "\n" ); document.write( "The length of a tunnel that is needed to go through the mountain is 2,589.6 feet. \n" ); document.write( " \n" ); document.write( " |